论文标题

对称减少表格投票

Symmetric reduced form voting

论文作者

Lang, Xu, Mishra, Debasis

论文摘要

我们在对称环境中研究了具有两个替代方案的投票模型。我们表征可以通过对称投票规则实现的临时分配概率。我们表明,每个这样的临时分配概率都可以作为确定性投票规则的两个家族的凸组组合实施:合格的多数和合格的反占主导地位。我们还需要通过对称单调(防策略)投票规则以及对称的一致投票规则实施相似的结果。我们应用结果表明,前罗尔西亚规则是一对合格多数规则的凸组合。

We study a model of voting with two alternatives in a symmetric environment. We characterize the interim allocation probabilities that can be implemented by a symmetric voting rule. We show that every such interim allocation probabilities can be implemented as a convex combination of two families of deterministic voting rules: qualified majority and qualified anti-majority. We also provide analogous results by requiring implementation by a symmetric monotone (strategy-proof) voting rule and by a symmetric unanimous voting rule. We apply our results to show that an ex-ante Rawlsian rule is a convex combination of a pair of qualified majority rules.

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